Christian House Church Mission of Washington
Join us
‪(425) 998-8194‬

Why We Promote House Churches and
How Topology Became a Theological Backbone
In our efforts to promote the house church model, there are three guiding principles that form the foundation of our approach:
1. Continuing Worship in Familiar Ways:
For those who already have a church they trust and have faithfully attended, we recommend continuing their current style of worship even within a house church setting. There is no need to change what already nurtures their faith.
2. Finding a Church Tradition That Resonates Personally:
We also recognize that many people have had experiences in traditional churches that left them feeling disconnected or unfulfilled. For these individuals, we suggest researching other church traditions, reaching out to churches that resonate with them, and, if granted approval, forming a house church in alignment with that particular tradition.
3. Embracing the Wider Body of Christ Without Denominational Barriers:
Finally—and most importantly—we affirm that even if someone does not belong to any particular denomination, as long as they believe in the Bible and the salvation offered by Jesus Christ, they are indeed Christians in the broadest and truest sense of the word.
This inclusive view of Christianity forms the core doctrine of our faith. We believe this reflects the original intent of the gospel more faithfully than rigid denominationalism.
(We must clearly state that this excludes cults, which misuse the name of Christianity.)
​
Why Topology Matters in Our Theology
​
In our doctrinal development, topology is used metaphorically and theologically—drawing inspiration from the mathematical concept of flexible continuity and connection.
Just as many artists or composers have been influenced by earlier works, we have prayerfully adapted this idea to express the living, organic nature of Christ’s Church: always connected, yet flexible—never severed.
This spiritual metaphor helps us explore how faith communities can remain united in love while expressing themselves in diverse forms and cultural contexts.
In mathematics, topology allows for different structures to be placed on the same underlying set. Each structure may define a unique way of relating its elements, yet the identity of the set remains unchanged.
We see in this a meaningful image of the Church: even when expressions of faith or organizational forms differ, those who believe in Christ remain part of the same spiritual body. The “set” remains fundamentally the same, though its outward shape or appearance may vary.
This is why we have intentionally incorporated the concept of topology into both our theological thinking and our ministry operations. While it may seem unusual at first, topology offers a compelling analogy for understanding Christian unity—one that embraces both visible differences and inner connection without requiring hierarchy or division.
A full explanation of this approach—what we call ©Topological Theology—will be shared in a dedicated page on our website in the near future.
In applying this concept to modern Christianity, we recognize that diverse worship traditions and denominational practices still flow from the same wellspring of faith. All who trust in the authority of Scripture and the redeeming grace of Jesus Christ are united in one spiritual identity—the body of Christ.
The existence of denominations is not inherently problematic. What matters most is recognizing that even those outside of any denomination, if grounded in Scripture, are fully and equally Christian.
There is no “hierarchy of churches” in the eyes of Jesus, as recorded in Scripture. There is no biblical evidence that God's blessings are greater in a large cathedral than in the quiet, faithful prayers of a believer alone in their room.
What we affirm and teach as our core doctrine is this: Jesus blesses not based on external style or institutional size, but on sincerity of heart and faithful devotion.
This conviction shapes our theological foundation and provides the guiding structure for our house church movement, grounding us not in institutional hierarchy but in the living presence of Christ among His people.
​


Honoring the Mathematical Pioneers of Topology
and Their Lasting Inspiration for Topology Theology
At Christian House Church Mission of Washington (CHCMW), we believe that faith can grow deeper and clearer when it humbly walks alongside the beauty of divine logic and the wonder of mathematical insight. Our emerging theological framework, Topology Theology, is born out of this very conviction.
Before "Topology" became a guiding concept in our theological reflection, it was a profound mathematical discipline — one that reimagined space, continuity, and transformation. The thinkers who gave shape to this revolutionary branch of mathematics opened a path not only for science, but also for spiritual imagination.
We gratefully recognize the following mathematicians as the founding visionaries of Topology:
-
Leonhard Euler (1707- 1783)
Introduced the famous Euler characteristic (V − E + F = 2), solving the Seven Bridges of Königsberg problem — a conceptual seed of topological thinking. -
Augustin-Louis Cauchy (1789 - 1857)
Formalized concepts of continuity and limits, providing rigor for the future language of topology. -
Ludwig Schläfli (1814 - 1895)
Expanded our understanding of higher-dimensional geometries and complex polyhedral forms, foundational for abstract topological structures. -
Johann Benedict Listing (1808 - 1882)
Coined the term Topologie in 1847, and explored properties such as connectivity and knots — bringing topology into formal mathematical discourse. -
Bernhard Riemann (1826 - 1866)
Developed the theory of Riemann surfaces and generalized the idea of space itself, blurring the boundary between geometry and topology. -
Enrico Betti (1823 - 1892)
Introduced what would later be known as Betti numbers — numerical invariants that classify the shape of topological spaces. -
Henri Poincaré (1854 - 1912)
Often called the father of algebraic topology. His profound insights on homotopy, manifolds, and the classification of spaces laid the groundwork for modern topological thought.
We stand on their shoulders, not as mathematicians, but as humble interpreters of faith who see in their ideas a profound metaphor:
God's kingdom is not bound by rigid structures — it is fluid, open, and interconnected, just like topological space.
From Mathematical Topology to Theological Reflection
In CHCMW’s Topology Theology, we adopt topological concepts not as rigid formulas, but as spiritual parallels:
-
The connectedness of believers reflects the unity of the Body of Christ.
-
The flexibility of topological space echoes the adaptability of house churches in various cultural and personal settings.
-
The invariance of essential faith across forms resonates with our non-denominational mission — a faith that holds even as forms and methods shift.
Just as mathematicians redefined space beyond shape, we seek to redefine church beyond walls.
Our Vision Forward
We believe that the profound ideas of these great thinkers are not confined to the classroom or chalkboard. They have the potential to enlighten the heart of every believer, showing us that God's truths are both eternal and dynamic.
Through the lens of Topology Theology, we continue building a faithful, flexible, and theologically sound network of house churches — places where every home can become a sanctuary, every believer a living stone, and every soul a part of God’s seamless design.
“Let the structure of faith remain steadfast, even as its visible forms gently shift — for the Spirit of God is present in every connection.”
Christian House Church Mission of Washington (CHCMW) – Topology Theology Research Center (TTRC).
Center for Open Science: https://doi.org/10.17605/OSF.IO/X9SFW | Version 1 – Published June 2025
Author’s NoteThis document reflects original theological perspectives prayerfully developed by the Christian House Church Mission of Washington. While we may draw inspiration from mathematical and biblical principles, all language is independently composed. We strive to uphold academic integrity and respect for the work of others, offering these ideas in service to the Body of Christ.
